77681610 has 48 divisors (see below), whose sum is σ = 203074560. Its totient is φ = 20602080.

The previous prime is 77681579. The next prime is 77681641. The reversal of 77681610 is 1618677.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (77681579) and next prime (77681641).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14931 + ... + 19449.

It is an arithmetic number, because the mean of its divisors is an integer number (4230720).

Almost surely, 2^77681610 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77681610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101537280).

77681610 is an abundant number, since it is smaller than the sum of its proper divisors (125392950).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

77681610 is a wasteful number, since it uses less digits than its factorization.

77681610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4723 (or 4720 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 77681610 is about 8813.7171499884. The cubic root of 77681610 is about 426.6837198859.

The spelling of 77681610 in words is "seventy-seven million, six hundred eighty-one thousand, six hundred ten".